Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-3 - -6\right)\left(-4 - -3\right) - 2\left(-5 - 1\right) $$
Correct Answer
$$ 9$$ or 9.00000

2. Simplify 2

Simplify the following expression: $$ \frac{-1 - 6 - \left(3 + 6\right)}{{\left(\frac{-3}{-5}\right)}^{2}} $$
Correct Answer
$$ \frac{-400}{9}$$ or -44.4444

3. Fractions 1

Simplify the following expression: $$ \frac{1}{5} + \frac{-2}{3} $$
Correct Answer
$$ \frac{-7}{15}$$ or -0.4666666666666666

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-1}{5}}{\frac{6}{4}} $$
Correct Answer
$$ \frac{-2}{15}$$ or -0.13333333333333333

5. Significant figures

1. Write the following to 4 significant figures: 20.059073
Correct Answer
20.06 or $$2.006\times10^{1}$$
2. Write the following to 3 significant figures: 1618.1386
Correct Answer
1620 or $$1.62\times10^{3}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.0000148751
Correct Answer
$$1.4875\times10^{-5}$$
2. Write the following in standard form to 5 significant digits: 0.000637745
Correct Answer
$$6.3775\times10^{-4}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 0.08258
Correct Answer
$$82.6\times10^{-3}$$
2. Write the following in preferred standard form to 3 significant digits: 68628
Correct Answer
$$68.6\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{2 + 1 - (-4)}{2\frac{2}{4}} $$
Correct Answer
$$ 7$$ or 7.00000

9. Simplify 1

Simplify the following expression: $$ \left(5 - -4\right)\left(-5 + 1\right) + {\left(-5 - -3\right)}^{2} $$
Correct Answer
$$ -32$$ or -32.0000

10. Simplify 2

Simplify the following expression: $$ {\left(-6 + -5\right)}^{2} - \frac{2 - 3}{-3 + 2} $$
Correct Answer
$$ 120$$ or 120.000


Other Articles:

How big should my spaceship be?

Physics Algorithms Book

This is a work in progress to write a book on physics algorithms. At the moment, it is about 1/3 finished though, but the latest version can be downloaded for free.

Experimental Flying Game

Fly around in a plane. Some physics, but mainly just playing with websockets. If you can get a friend to play at the same time, you should be able to shoot each other down.




© Hugo2015. Session @sessionNumber